Check if my answers are correct. will mark brainliest to whoever comments first! you, and god bless.

2. how is the graph of y equals -8x^2 - 2. different from the graph of y equals negative 8x squared.? (1 point)

it is shifted 2 units to the left
it is shifted 2 units to the right. ***
it is shifted 2 units up.
it is shifted 2 units down.

a model rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y equals negative 0.06 x squared plus 9.6 x plus 5.4 where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? round your answer to the nearest hundredth.

4.30 m
160.56 m
160.23 m
13.94 m ***

a physics student stands at the top of hill that has an elevation of 37 meters. he throws a rock and it goes up into the air and then falls back past him and lands on the ground below. the path of the rock can be modeled by the equation y equals negative 0.02 x squared plus 0.8 x plus 37 where x is the horizontal distance, in meters, from the starting point on the top of the hill and y is the height, in meters, of the rock above the ground. how far horizontally from its starting point will the rock land? round your answer to the nearest hundredth.

37.00 m ***
67.43 m
27.43 m
37.78 m

find the solutions to the system. y= x^2 - 5x + 2 y= -6x + 4

(2,8) and (-1, 2)
(-2, 8) and (1, -2)
(-2, 16) and (1, -2) ***
no solution

find the solutions to the system y=x^2-2x-2 y=4x+5

(-1, 1) and (7, -23)
(-1, 1) and (7, 33)
(-1, 33) and (7, 1)***
no solution

if an object is dropped from a height of 85 feet, the function h(t)= -16t^2 + 85 gives the height of the object after t seconds. approximately, when will the object hit the ground?

85.00 seconds
69.00 seconds
0.33 seconds
2.30 seconds ***

a ball is thrown into the air with an upward velocity of 28 ft/s. its height (h) in feet after t seconds is given by the function h= -16t^2 + 28t + 7. how long does it take the ball to reach its maximum height? what is the ball’s maximum height? round to the nearest hundredth, if necessary.

reaches a maximum height of 7 feet after 1.75 seconds. ***
reaches a maximum height of 43.75 feet after 0.88 seconds.
reaches a maximum height of 17.5 feet after 0.88 seconds.
reaches a maximum height of 19.25 feet after 0.88 seconds.

a catapult launches a boulder with an upward velocity of 148 ft/s. the height of the boulder (h) in feet after t seconds is given by the function h= -16t^2 + 148t + 30. how long does it take the boulder to reach its maximum height? what is the boulder’s maximum height? round to the nearest hundredth, if necessary.

reaches a maximum height of 30 feet after 9.25 second.
reaches a maximum height of 640.5 feet after 4.63 seconds.
reaches a maximum height of 1,056.75 feet after 4.63 seconds. ***
reaches a maximum height of 372.25 feet after 4.63 seconds.

a community group is planning the expansion of a square flower garden in a city park. if each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. find the length of each side of the original garden.

15m ***
3 m
12 m
square root of 12m

19. what is the value of c so that y = x^2 + 15x + c is a perfect square trinomial?

30
15/2***
15/4
225/4

solve the equation by completing the square. round to the nearest hundredth if necessary.
x^2 + 10x = 18

-11.56, 1.56
11.56, 1.56***
-11.56, -1.56
11.56, -1.56

solve the equation by completing the square. x^2 + 9x - 14 = 0

10.35, 1.35
10.35, -1.35
-10.35, -1.35
-10.35, 1.35 ***